Q.2. The graph of a polynomial p(x) = C, where c is a constant is: (a) A line parallel to the X-axis (b) A line making an acute angle with the X-axis (C) A line making an obtuse angle with the Y-axis (d) A line perpendicular to the X-axis YAT 1. 11
Answers
Given : The graph of a polynomial p(x) = c, where c is a constant
To Find : Choose correct option
(a) A line parallel to the X-axis
(b) A line making an acute angle with the X-axis
(c) A line making an obtuse angle with the Y-axis
(d) A line perpendicular to the X-axis
Solution:
The graph of a polynomial p(x) = c
Lets take two points on the graph
x = 0
=> p(0) = c
x = 1
=> p(1) = c
Hence two points on the graphs are ( 0 , c) and ( 1 , c)
Slope between points = ( c - c)/(1 - 0)
= 0/1
= 0
Slope is Zero
Hence graph of polynomial p(x) = c is a line parallel to X-axis
p(x) = c
Taking first derivative
p'(x) = 0 as c is constant
Hence for any value of x slope is zero
so graph of a polynomial p(x) = c is a line parallel to X-axis
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The graph of a polynomial p(x) = c
Lets take two points on the graph
=> p (0) = c
X = 1
=> p(1) = c
are (0, c)
Hence two points on the graphs and (1, c) Slope between points = (cc)/(1 - 0)
= 0/1
= 0
Slope is Zero
Hence graph of polynomial p(x) = c is a line parallel to X-axis
p(x) = = C
Taking first derivative
p'(x) = 0 as c is constant
Hence for any value of x slope is zero so graph of a polynomial p(x) = c is a line
parallel to X-axis.
p(x) = c
Taking first derivative Hence for any value of x slope is zero so graph of a polynomial p(x) = c is a line
p'(x) = 0 as c is constant
parallel to X-axis.